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TECHNICAL PAPERS

Modeling Vibratory Drilling Dynamics

[+] Author and Article Information
Stephen A. Batzer

Mechanical Engineering Department, University of Arkansas, Fayetteville, AR 72701Batzer@engr.uark.edu

Alexander M. Gouskov

Department of Applied Mechanics, Bauman Moscow State Technical University, Moscow, Russiagouskov@rk5.bmstu.ru

Sergey A. Voronov

Department of Applied Mechanics, Bauman Moscow State Technical University, Moscow, RussiaVoronov@rk5.bmstu.ru

J. Vib. Acoust 123(4), 435-443 (Apr 01, 2001) (9 pages) doi:10.1115/1.1387024 History: Received February 01, 2000; Revised April 01, 2001
Copyright © 2001 by ASME
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References

Figures

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Vibratory drilling setup
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Forces and displacements of drilling model
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Example Bifurcation Diagrams for base system of parameters. Bifurcation diagrams for undeformed chip thickness β, tool displacements η1 and workpiece η2, and forces NC,N10 and N23 as a function of cutting velocity VC/VCB.
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Graphs Λ(τ), NC(τ) and Amplitude-Frequency Characteristics of NC for VC/VCB=1.5, ψ=0.352
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Graphs Λ(τ), NC(τ) and Amplitude-Frequency Characteristics of NC for VC/VCB=2.5, ψ=0.561
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Graphs Λ(τ), NC(τ) and Amplitude-Frequency Characteristics of NC for VC/VCB=3.5, ψ=0.752
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Bifurcation diagram of undeformed chip thickness β and tool displacement amplitude η1 dependent on σLLB
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Results of Tool Exit Modeling. Variation in time chip thickness β(τ), tool displacement η(τ), forces NC(τ) and N10(τ), hole depth Λ(τ) and Λ(τ−.5) for two cutting edges and phase map of tool motion (η̇1−η1).
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Bifurcation diagrams of β, NC1 and N10 dependent on frequency p in case of ζ10=0.05,m1/m1B=2,k10/k10B=2 and α0=0.1
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Bifurcation diagrams of β and f dependent on frequency p in case of ζ10=0.05,m1/m1B=2,k10/k10B=2 and α0=0.3
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Bifurcation diagrams of NC and N10 dependent on tool fixture stiffness k10 and variation of parameters of cutting continuity ψ and frequency of chip element formation f on k10
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Variation in time of chip thickness β and given motion of tool holder η00 sin 2πpτ and shape of chip for two values of tool holder stiffness k10/k10B=1.5 and k10/k10B=2.5

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